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Finding the Fourth Proportional to 713,196.31, 984,208.86 and 390,905.41

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Solution

The fourth proportional to 713,196.31, 984,208.86 and 390,905.41 is: 539,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,196.31 : 984,208.86 = 390,905.41 : x
  2. Step 2: Convert to fraction form
    713,196.31/984,208.86 = 390,905.41/x
  3. Step 3: Cross multiply
    713,196.31x = 984,208.86 × 390,905.41
  4. Step 4: Simplify right side
    713,196.31x = 384,732,567,943.93
  5. Step 5: Solve for x
    x = 384,732,567,943.93/713,196.31
  6. Step 6: Final answer
    x = 539,448.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.